A version of Mirror Symmetry matches a Laurent polynomial to a Fano variety. Correctly chosen, such a polynomial contains a lot of information about invariants of the initial Fano variety. In particular, this enables one to construct Landau--Ginzburg models in some cases and predict the invariants of Fanos. We briefly discuss the notion of toric Landau--Ginzburg model and ways to extract some invariants of Fano varieties from them, such as rationality, Hodge numbers, toric degenerations data, and Gamma classes.
Math-Physics Joint Seminar
Tuesday, April 14, 2015 - 4:30pm
Victor Przyjalkowski
Steklov Mathematical Institute, RAS